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Katyanochek1 [597]
2 years ago
15

A person enrolls in a diet and exercise program that guarantees a loss of at least pounds per week. The person's weight at the b

eginning of the program is 190 pounds. Find the maximum number of weeks before the person attains a goal weight of 120 pounds.

Mathematics
1 answer:
Vlad [161]2 years ago
8 0

Step-by-step explanation:

Below is an attachment containing the solution.

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What is the length of AC
meriva
Hi!
This is a fun one, as it delves into basic trigonometry.

We're going to use the Pythagorean theorem here, which says that for right triangles where "c" is the hypotenuse,

a² + b² = c²

We have to split this large triangle into two parts, both of which are right triangles. (This is why they drew a line in the middle to tell you that the larger triangle is composed of two right triangles.)

Let's do the one on the right first.

We know that the length of the hypotenuse is 10, and that the length of one of the legs is 6.5. If we plug this into our equation, we'll get the length of the other leg. I'm choosing "b" to be 6.5, but it really doesn't matter if you pick "a" or "b", so long as you reserve "c" for the hypotenuse (longest side).

a² + 6.5² = 10²
a² + 42.25 = 100
a² = 57.75
√a² = √57.75
a ≈ 7.6

Therefore, the length of DC is about 7.6.

Find the length of AD using the same method (7.5 is the hypotenuse "c", and 6.5 is one of the legs "a" or "b"). Then, once you have AD, add the lengths of AD and DC to get AC.

Have a great one!
7 0
2 years ago
100 POINTS AND BRAINLIEST IF YOU ANSWER FIRST!
boyakko [2]

Answer:1/3 to the 3rd = 1/9 units

Step-by-step explanation:

a^3 = volume of a cube part 2: 1/2 to the power of 1/2

8 0
2 years ago
Find the product.<br><br> a^4(3a ^2 - 2a + 1)
Vikki [24]

<span>                   a⁴(3a² - 2a + 1)

We just have to multiply each term inside the parentheses by  a⁴  .

           a⁴</span><span>(3a²        )  =  3a⁶
 
           a⁴</span><span>(    - 2a    )  =  -2a⁵
 
           a⁴</span><span>(            1)  =  a⁴

Now, just addum up :      3a⁶ - 2a⁵ + a⁴</span>


7 0
3 years ago
Please help me......<br> Change the equation 8+4y=24 into slope-intercept form
andrew11 [14]
Slope-Intercept form - y = 4
8 0
2 years ago
Which equation describes the line with a slope of -3 that contains the point (2,4)?
Ilia_Sergeevich [38]

Answer: y = 2x - 11

Step-by-step explanation:

A linear equation has the following form.

y = a . x + b

where,

y: independent variable

a: slope

x: independent variable

b: y-intercept

The slope is 2, so a is 2. The ordered pair (4, -3) means that when x takes the value 4, y takes the value -3. We can replace these values in the general equation to find the y-intercept.

y = a . x + b

-3 = 2 . 4 + b

b = -11

The linear equation is

y = 2x - 11

8 0
2 years ago
Read 2 more answers
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